Finding the Third Proportional to 111,972 and 169,735

Step by Step Solution

1. Step 1: Write the proportion equation
   111,972 : 169,735 = 169,735 : x
2. Step 2: Convert to fraction form
   111,972/169,735 = 169,735/x
3. Step 3: Cross multiply
   111,972x = 169,735 × 169,735
4. Step 4: Simplify right side
   111,972x = 28,809,970,225
5. Step 5: Solve for x
   x = 28,809,970,225/111,972
6. Step 6: Final answer
   x = 257,296.20